Question

Express this equation in logarithmic form. y = 10^x X=

Answer 1

For this case we must find the value of the variable "x" of the following equation:

$y = 10^{x}$

We rewrite the equation as:

$10 ^ {x} = y$

We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.

$log (10 ^ {x}) = log (y)\\x (log (10)) = log (y)$

The logarithmic base 10 of 10 is 1.

$x * 1 = log (y)\\x = log (y)$

ANswer:

$x = log (y)$